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Problemas populares

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Problemas populares de Cálculo

derivada de 4x^{2/3}+x^{5/3}	\frac{d}{dx}(4x^{\frac{2}{3}}+x^{\frac{5}{3}})
tangent f(x)=x^3-2x,\at x=2	tangent\:f(x)=x^{3}-2x,\at\:x=2
(dy)/(dx)+5(tan(5x))y=3cos(5x)	\frac{dy}{dx}+5(\tan(5x))y=3\cos(5x)
integral de 60x^2(1-4x^3)^4	\int\:60x^{2}(1-4x^{3})^{4}dx
derivative f(x)=\sqrt[3]{e^{2x}+x^3}	derivative\:f(x)=\sqrt[3]{e^{2x}+x^{3}}
derivative f(x)=x^{5/6}	derivative\:f(x)=x^{\frac{5}{6}}
tangent y=10-3x-x^2	tangent\:y=10-3x-x^{2}
(dy)/(dx)+ycos(x)=4cos(x),y(0)=6	\frac{dy}{dx}+y\cos(x)=4\cos(x),y(0)=6
integral de 3xsqrt(4-x^2)	\int\:3x\sqrt{4-x^{2}}dx
integral de sin(3)(θ)cos(6)(θ)	\int\:\sin(3)(θ)\cos(6)(θ)dθ
integral de 0 a 1 de xe^{-5x^2}	\int\:_{0}^{1}xe^{-5x^{2}}dx
integral de 0 a 1 de (5y)/(e^{2y)}	\int\:_{0}^{1}\frac{5y}{e^{2y}}dy
derivada de ln(x^2+y^2)	\frac{d}{dx}(\ln(x^{2}+y^{2}))
(\partial)/(\partial x)(x^2e^{x^2})	\frac{\partial\:}{\partial\:x}(x^{2}e^{x^{2}})
(\partial)/(\partial x)(e^xsin(xy))	\frac{\partial\:}{\partial\:x}(e^{x}\sin(xy))
(\partial)/(\partial x)(x+y+z)	\frac{\partial\:}{\partial\:x}(x+y+z)
(\partial)/(\partial x)((4x-y^2)^{3/2})	\frac{\partial\:}{\partial\:x}((4x-y^{2})^{\frac{3}{2}})
serie de n=1 a infinity de 6/(2^n)	\sum\:_{n=1}^{\infty\:}\frac{6}{2^{n}}
(\partial)/(\partial x)(y(1-x))	\frac{\partial\:}{\partial\:x}(y(1-x))
inversalaplace e^{-3s}*5/(4s^2+16)	inverselaplace\:e^{-3s}\cdot\:\frac{5}{4s^{2}+16}
tangent 4x-x^2(1.3)	tangent\:4x-x^{2}(1.3)
derivada de ln(e^x+e^{-x})	\frac{d}{dx}(\ln(e^{x}+e^{-x}))
límite cuando x tiende a 4+de 2/((x-4)^4)	\lim\:_{x\to\:4+}(\frac{2}{(x-4)^{4}})
16y^{''''}=256y	16y^{\prime\:\prime\:\prime\:\prime\:}=256y
integral de ln(1+1/(x^2))	\int\:\ln(1+\frac{1}{x^{2}})dx
integral de (3x+1)^{1/2}	\int\:(3x+1)^{\frac{1}{2}}dx
derivada de (3-2x^2)	\frac{d}{dx}((3-2x)^{2})
tangent f(x)=(2x)/(x^2+1),(-1,-1)	tangent\:f(x)=\frac{2x}{x^{2}+1},(-1,-1)
simplificar (2(x+1))/(sqrt(x^2+1))	simplify\:\frac{2(x+1)}{\sqrt{x^{2}+1}}
derivative sqrt(r^2-9x^2)	derivative\:\sqrt{r^{2}-9x^{2}}
N-0.0002N^2=(dN)/(dt)	N-0.0002N^{2}=\frac{dN}{dt}
límite cuando x tiende a infinity+de x^{10}	\lim\:_{x\to\:\infty\:+}(x^{10})
(\partial)/(\partial x)(1/(cos^2(x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\cos^{2}(x)})
integral de xsqrt(3x^2-1)	\int\:x\sqrt{3x^{2}-1}dx
integral de x^3-4/(\sqrt[3]{x)}+9/x+6e^x	\int\:x^{3}-\frac{4}{\sqrt[3]{x}}+\frac{9}{x}+6e^{x}dx
inversalaplace 1/((s^2-9))	inverselaplace\:\frac{1}{(s^{2}-9)}
(dy)/(dx)+2x^2y=11x^2	\frac{dy}{dx}+2x^{2}y=11x^{2}
integral de (e^{2x}+1)/(e^{2x)-1}	\int\:\frac{e^{2x}+1}{e^{2x}-1}dx
límite cuando x tiende a 0-de 1+1/x	\lim\:_{x\to\:0-}(1+\frac{1}{x})
integral de-infinity a 6 de 10xe^{2x}	\int\:_{-\infty\:}^{6}10xe^{2x}dx
derivada de ln(xsqrt(x^2-2))	\frac{d}{dx}(\ln(x\sqrt{x^{2}-2}))
y^{''}+2y^'+5y=2sin(2t)	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=2\sin(2t)
integral de tan^2(3x)sec^4(3x)	\int\:\tan^{2}(3x)\sec^{4}(3x)dx
integral de (csc^2(x)-1)cot(x)	\int\:(\csc^{2}(x)-1)\cot(x)dx
derivada de 1/(6x-7)	\frac{d}{dx}(\frac{1}{6x-7})
límite cuando x tiende a-1 de 3x^2-3x+3	\lim\:_{x\to\:-1}(3x^{2}-3x+3)
derivada de (-1^nx^n)	\frac{d}{dx}((-1)^{n}x^{n})
integral de 1/(x^4)-1/(\sqrt[4]{x)}+4	\int\:\frac{1}{x^{4}}-\frac{1}{\sqrt[4]{x}}+4dx
derivada de (1+sqrt(x)/x)	\frac{d}{dx}(\frac{1+\sqrt{x}}{x})
y^{''}+2y^'-3y=0,y(0)=4,y^'(0)=1	y^{\prime\:\prime\:}+2y^{\prime\:}-3y=0,y(0)=4,y^{\prime\:}(0)=1
derivative f(x)= 9/(x-6)	derivative\:f(x)=\frac{9}{x-6}
límite cuando x tiende a 0 de x/(sin(6x))	\lim\:_{x\to\:0}(\frac{x}{\sin(6x)})
derivative f(x)=sin^2(e^{sin^2(x)})	derivative\:f(x)=\sin^{2}(e^{\sin^{2}(x)})
(\partial)/(\partial x)(3y^6sin(3x))	\frac{\partial\:}{\partial\:x}(3y^{6}\sin(3x))
derivative 13sin(x)	derivative\:13\sin(x)
derivative f(x)= 1/(x+4)	derivative\:f(x)=\frac{1}{x+4}
límite cuando x tiende a 0 de 3/x	\lim\:_{x\to\:0}(\frac{3}{x})
(\partial)/(\partial x)((61)/(7+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{61}{7+x^{2}+y^{2}})
límite cuando x tiende a 3 de (x^2+1)/(x-3)	\lim\:_{x\to\:3}(\frac{x^{2}+1}{x-3})
derivada de sin(x^2+5)	\frac{d}{dx}(\sin(x^{2}+5))
derivada de (7x/(e^x))	\frac{d}{dx}(\frac{7x}{e^{x}})
serie de n=1 a infinity de 9/(10^n)	\sum\:_{n=1}^{\infty\:}\frac{9}{10^{n}}
d/(dt)(cos(3t))	\frac{d}{dt}(\cos(3t))
serie de n=0 a infinity de 1/(n*ln(n))	\sum\:_{n=0}^{\infty\:}\frac{1}{n\cdot\:\ln(n)}
integral de e^{-5x}tan(e^{-5x})	\int\:e^{-5x}\tan(e^{-5x})dx
derivada de 1+sec(x)	\frac{d}{dx}(1+\sec(x))
derivada de-x^5-6x^4-14x^3-16x^2-9x-2	\frac{d}{dx}(-x^{5}-6x^{4}-14x^{3}-16x^{2}-9x-2)
(\partial ^2)/(\partial x\partial y)(ln(3+x^2y^2))	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(\ln(3+x^{2}y^{2}))
límite cuando x tiende a 0-de (sin(\|x\|))/x	\lim\:_{x\to\:0-}(\frac{\sin(\left\|x\right\|)}{x})
integral de (3+2x)	\int\:(3+2x)dx
integral de (1-x^2)^{(-1)/2}	\int\:(1-x^{2})^{\frac{-1}{2}}dx
(\partial}{\partial s}(\frac{s-r)/t)	\frac{\partial\:}{\partial\:s}(\frac{s-r}{t})
derivada de x/(2-sqrt(x))	\frac{d}{dx}(\frac{x}{2-\sqrt{x}})
pendiente x^2+y^2=25	slope\:x^{2}+y^{2}=25
integral de 8/((x^2+1)^{3/2)}	\int\:\frac{8}{(x^{2}+1)^{\frac{3}{2}}}dx
x^2(dy)/(dx)+2xy=5y^4	x^{2}\frac{dy}{dx}+2xy=5y^{4}
integral de (sqrt(x))/4	\int\:\frac{\sqrt{x}}{4}dx
(\partial)/(\partial y)(x/(sqrt(y)))	\frac{\partial\:}{\partial\:y}(\frac{x}{\sqrt{y}})
límite cuando x tiende a 2 de ((x-2))/x	\lim\:_{x\to\:2}(\frac{(x-2)}{x})
(((-3)^')^4)^'	(((-3)^{\prime\:})^{4})^{\prime\:}
derivada de (x^4+7x^3+14x^2/(x+3))	\frac{d}{dx}(\frac{x^{4}+7x^{3}+14x^{2}}{x+3})
integral de 3y^2	\int\:3y^{2}dy
límite cuando x tiende a 6+de (-5x)/(x+6)	\lim\:_{x\to\:6+}(\frac{-5x}{x+6})
integral de (sin(2x)cos(2x))	\int\:(\sin(2x)\cos(2x))dx
derivada de e^{x^3y}	\frac{d}{dx}(e^{x^{3}y})
(\partial)/(\partial y)((x+y)/(x-y))	\frac{\partial\:}{\partial\:y}(\frac{x+y}{x-y})
integral de 1 a 3 de ((3x^2-7))/(x^3)	\int\:_{1}^{3}\frac{(3x^{2}-7)}{x^{3}}dx
f(x)=x^3e^{4x}	f(x)=x^{3}e^{4x}
y^'+x(y^2+y)=0,y(2)=1	y^{\prime\:}+x(y^{2}+y)=0,y(2)=1
derivada de ((x^3-4x^8)/8)	\frac{d}{dx}(\frac{(x^{3}-4x)^{8}}{8})
x^2+4xy+x((dy)/(dx))=0	x^{2}+4xy+x(\frac{dy}{dx})=0
(\partial)/(\partial x)(yln(5x+y))	\frac{\partial\:}{\partial\:x}(y\ln(5x+y))
integral de 1 a 6 de 7(ln(x))/(x^2)	\int\:_{1}^{6}7\frac{\ln(x)}{x^{2}}dx
integral de sin(2x)e^{cos^2(x)}	\int\:\sin(2x)e^{\cos^{2}(x)}dx
límite cuando x tiende a 3 de 6/(x-3)	\lim\:_{x\to\:3}(\frac{6}{x-3})
derivative 2x-3	derivative\:2x-3
límite cuando x tiende a-1-de 1/(x+1)	\lim\:_{x\to\:-1-}(\frac{1}{x+1})
(dy)/(dx)+y=xy^8	\frac{dy}{dx}+y=xy^{8}
derivative f(x)=sqrt(5x+2)	derivative\:f(x)=\sqrt{5x+2}
2(x^2+y^2)dx+7xydy=0	2(x^{2}+y^{2})dx+7xydy=0

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